Marco A. Pérez

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math.RA2026

$n$ -Absolutely pure and $n$ -flat modules, revisited

Rafael Parra, Marco A. P{é}rez

We revisit the concepts of $n$ -absolutely pure and $n$ -flat modules, and their relation with $n$ -coherent rings in the sense of Lee. We provide new proofs for some known claims abo…

math.RA2025

Gorensteinness from duality pairs induced via Foxby equivalences

Víctor Becerril, Marco A. Pérez

We define and study induced duality pairs under Foxby equivalences. Given a semidualizing $(S, R)$ -bimodule $_{S} C_{R}$ , if $(A_{C} (R), B_{C} (R^{op}))$ and $(\math…

n-Absolutely pure and n-flat modules, revisited

Gorensteinness from duality pairs induced via Foxby equivalences

$n$ -Absolutely pure and $n$ -flat modules, revisited